- Question In The Red Box 1 (85.34 KiB) Viewed 28 times
(Question in the red box).
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answerhappygod
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(Question in the red box).
(Question in the red box).
A mass 2m is suspended from a fixed sup- port by a spring with spring constant 2k. A second mass m is suspended from the first mass by a spring of constant k. Find the equation of motion for this coupled system and determine the frequencies of oscillation of normal modes. Neglect the masses of the springs. Hint: It is easi- est to choose the coordinates of the two masses at their equilibrium positions. O2m 5m Equilibrium: y1=0 for 2m, y2=0 for m At t=0, 2m is at equilibrium, m is at A, which is further than y2=0 is to y1=0 what is y1(t) & y2(t) 2k iwt y(t)=ye W₁= sqrt(2k/m) W₂= sqrt(k/2m)
A mass 2m is suspended from a fixed sup- port by a spring with spring constant 2k. A second mass m is suspended from the first mass by a spring of constant k. Find the equation of motion for this coupled system and determine the frequencies of oscillation of normal modes. Neglect the masses of the springs. Hint: It is easi- est to choose the coordinates of the two masses at their equilibrium positions. O2m 5m Equilibrium: y1=0 for 2m, y2=0 for m At t=0, 2m is at equilibrium, m is at A, which is further than y2=0 is to y1=0 what is y1(t) & y2(t) 2k iwt y(t)=ye W₁= sqrt(2k/m) W₂= sqrt(k/2m)
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